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Izhikevich E.M. (Editor-in-Chief)
Scholarpedia , the free peer reviewed encyclopedia. |
Izhikevich E.M. (2007)
Dynamical Systems in Neuroscience: The Geometry of Excitability and Bursting. The MIT press (full version in pdf) |
Hoppensteadt F.C. and Izhikevich E.M. (1997)Weakly Connected Neural Networks. Springer-Verlag, New York |
| Articles: |
| Izhikevich E. M., Conway J. H., and Seth A. (2015)
Game of Life. Scholarpedia, 10(6):1816 |
| Izhikevich E. M. (2010)
Hybrid Spiking Models. Phil. Trans. R. Soc. A 368:5061-5070 |
| Szatmary B. and Izhikevich E. M. (2010)
Spike-Timing Theory of Working Memory. PLoS Computational Biology, 6(8): e1000879 |
| Izhikevich E. M. and Hoppensteadt F.C. (2009)
Polychronous Wavefront Computations. International Journal of Bifurcation and Chaos, 19:1733-1739 |
| Izhikevich E. M. and Edelman G. M. (2008)
Large-Scale Model of Mammalian Thalamocortical Systems. PNAS, 105:3593-3598 |
|
Izhikevich E. M. and Ermentrout G. B. (2008)
Phase model. Scholarpedia, 3(10):1487 |
|
Terman D. H. and Izhikevich E. M. (2008)
State space. Scholarpedia, 3(3):1924 |
| Izhikevich E.M. (2007)
Solving the Distal Reward Problem through Linkage of STDP and Dopamine Signaling. Cerebral Cortex, 17:2443--2452 (10.1093/cercor/bhl152) |
| Izhikevich E.M. (2007)
Equilibrium. Scholarpedia, 2(10):2014 |
| Seth A. K., Izhikevich E., Reeke G.N., and Edelman G.M. (2006)
Theories and measures of consciousness: An extended framework. PNAS, 10.1073/pnas.0604347103. |
| Izhikevich E.M. and FitzHugh R. (2006)
FitzHugh-Nagumo Model. Scholarpedia, 1:(9)1349 |
| Izhikevich E.M. and Kuramoto Y. (2006)
Weakly Coupled Oscillators. Encyclopedia of Mathematical Physics, Elsevier, 5:448 |
| Izhikevich E.M.(2006)
Bursting. Scholarpedia, 1(3):1300 |
| Izhikevich E.M. (2006)
Polychronization: Computation With Spikes. Neural Computation,18:245-282 |
| Wu N., Enomoto A., Tanaka S., Hsiao C.-F., Nykamp D.Q., Izhikevich E., and Chandler S.H. (2005)
Persistent Sodium Currents in Mesencephalic V Neurons Participate in Burst Generation and Control of Membrane Excitability Journal of Neurophysiology 93:2710--2722 |
| Izhikevich E.M. (2004)
Which Model to Use for Cortical Spiking Neurons? IEEE Transactions on Neural Networks, 15:1063-1070 (special issue on temporal coding) |
| Izhikevich E.M. and Hoppensteadt F.C. (2004)
Classification of Bursting Mappings. International Journal of Bifurcation and Chaos, 14:3847-3854 |
| Izhikevich E.M., Gally J.A., and Edelman, G.M. (2004)
Spike-Timing Dynamics of Neuronal Groups. Cerebral Cortex, 14:933-944 |
| Izhikevich E.M. (2003)
Simple Model of Spiking Neurons. IEEE Transactions on Neural Networks, 14:1569- 1572 |
| Izhikevich E.M. and Hoppensteadt F.C. (2003)
Slowly Coupled Oscillators: Phase Dynamics and Synchronization. SIAM Journal on Applied Mathematics, 63:1935-1953 |
| Izhikevich E.M. and Desai N.S. (2003)
Relating STDP to BCM. Neural Computation 15:1511�1523 |
| Izhikevich E.M., Desai N.S., Walcott E.C., Hoppensteadt F.C. (2003)
Bursts as a unit of neural information: selective communication via resonance. Trends in Neuroscience 26:161-167 |
| Izhikevich E.M. (2002)
Resonance and Selective Communication Via Bursts in Neurons Having Subthreshold Oscillations. BioSystems, 67:95-102 |
| Hoppensteadt F.C. and Izhikevich E.M. (2002)
Canonical Neural Models. In Arbib MA (Ed) Brain Theory and Neural Networks. Second Edition. The MIT press, Cambridge, MA, pages 181-186. (Invited review paper) |
| Izhikevich E.M. (2001)
Synchronization of Elliptic Bursters. SIAM Review, 43:315-344 (Featured SIGEST paper selected on the basis of its exceptional interest to the entire SIAM community.) |
| Izhikevich E.M. (2001)
Resonate-and-Fire Neurons. Neural Networks, 14:883-894 |
| Hoppensteadt F.C. and Izhikevich E.M. (2001)
Synchronization of MEMS Resonators and Mechanical Neurocomputing. IEEE Transactions On Circuits and Systems I, 48:133-138 |
| Hoppensteadt F.C. and Izhikevich E.M. (2000)
Synchronization of Laser Oscillators, Associative Memory, and Optical Neurocomputing. Physical Review E, 62:4010-4013 |
| Hoppensteadt F.C. and Izhikevich E.M. (2000)
Pattern Recognition Via Synchronization in Phase-Locked Loop Neural Networks. IEEE Transactions On Neural Networks, 11:734-738 |
| Izhikevich E.M. (2000)
Phase Equations For Relaxation Oscillators. SIAM Journal on Applied Mathematics, 60:1789-1805 |
| Izhikevich E.M. (2000)
Neural Excitability, Spiking, and Bursting. International Journal of Bifurcation and Chaos. 10:1171-1266. (Long review/tutorial paper with 126 illustrations.) |
| Izhikevich E.M. (2000)
Subcritical Elliptic Bursting of Bautin Type. SIAM Journal on Applied Mathematics, 60:503-535 |
| Izhikevich E.M. (1999)
Weakly Connected Quasiperiodic Oscillators, FM Interactions, and Multiplexing in the Brain. SIAM Journal on Applied Mathematics, 59:2193-2223 |
| Hoppensteadt F.C. and Izhikevich E.M. (1999)
Oscillatory Neurocomputers With Dynamic Connectivity. Physical Review Letters 82:2983-2986 |
| Izhikevich E.M. (1999)
Class 1 Neural Excitability, Conventional Synapses, Weakly Connected Networks, and Mathematical Foundations of Pulse-Coupled Models. IEEE Transactions On Neural Networks,10:499-507 |
| Izhikevich E.M. (1999)
Weakly Pulse-Coupled Oscillators, FM Interactions, Synchronization, and Oscillatory Associative Memory. IEEE Transactions On Neural Networks, 10:508-526(Review/tutorial paper) |
| Hoppensteadt F.C. and Izhikevich E.M. (1998)
Thalamo-Cortical Interactions Modeled by Weakly Connected Oscillators: Could Brain Use FM Radio Principles? BioSystems, 48:85-94 |
| Izhikevich E.M. (1998)
Phase Models With Explicit Time Delays. Physical Review E, 58:905-908 |
| Izhikevich E.M. (1998)
Multiple Cusp Bifurcations. Neural Networks, 11:495-508 |
| Hoppensteadt F.C. and Izhikevich E.M. (1996)
Synaptic Organizations and Dynamical Properties of Weakly Connected Neural Oscillators. II. Learning of Phase Information. Biological Cybernetics, 75:129--135 |
| Hoppensteadt F.C. and Izhikevich E.M. (1996)
Synaptic Organizations and Dynamical Properties of Weakly Connected Neural Oscillators: I. Analysis of Canonical Model Biological Cybernetics, 75:117--127 |
| Izhikevich E.M. and Malinetskii G.G. (1993)
A Neural Network With Chaotic Behavior. Neurocomputers (in Russian) |
| Izhikevich E.M. and MalinetskiiG.G. (1992)
A Possible Role of Chaos in Neurosystems, Dokl. Akad. Nauk SSSR, 326:626-632 (translated in Sov. Phys. Docl. (1993) 37(10) October 1992:492--495) |
| Izhikevich E.M., Mikhailov A.S., and Sveshnikov
N.A. (1991)
Memory, Learning and Neuromediators.. BioSystems, 25:219-230 |
| Animated Talks: |
| Phase Dynamics and Synchronization of Relaxation Oscillators
Sixth SIAM Conference on Applications of Dynamical Systems, Snowbird, Utah, May 2001 (A Powerpoint presentation with MATLAB animations) |
| The Neuron as a Nonlinear Resonator
Workshop "The Neuron as a Nonlinear Oscillator", Salk Institute, La Jolla, CA, August, 2000 (A Powerpoint presentation with MATLAB animations) |
| Synchronization of Bursters
SIAM Pacific Rim Dynamical Systems Conference, Hawaii, August, 2000 (A Powerpoint presentation with MATLAB animations) |
| Patents: |
| Hoppensteadt F.C. and Izhikevich E.M.
PLL Oscillatory Neurocomputer. Provisional Patent Application, USPTO. |
| Hoppensteadt F.C. and Izhikevich E.M.
Mechanical Computation With MEMS Resonators. Provisional Patent Application, USPTO, Serial Number 60/178,654. |
| Hoppensteadt F.C. and Izhikevich E.M.
Optical Computation Via Phase Modulation of Laser Oscillators. Provisional Patent Application, USPTO. |
| Hoppensteadt F.C. and Izhikevich E.M.
Oscillatory Neurocomputers With Dynamic Connectivity. Provisional Patent Application for Letters Patent of the United States, Serial No. 60/108,353. |